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ON RATE OF MIXING AND THE AVERAGING PRINCIPLE FOR HYPOELLIPTIC STOCHASTIC DIFFERENTIAL EQUATIONS

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Publication:3833360
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DOI10.1070/IM1989v033n02ABEH000824zbMath0677.60057OpenAlexW2143083833MaRDI QIDQ3833360

Alexander Yu. Veretennikov

Publication date: 1989

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1989v033n02abeh000824


zbMATH Keywords

Malliavin calculusaveraging principlecoupling methodexplicit estimates of the mixing ratestochastic differential equations under Hoermander type conditions


Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Stochastic calculus of variations and the Malliavin calculus (60H07)


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Controllability implies mixing. I. Convergence in the total variation metric ⋮ Balanced model reduction of partially observed Langevin equations: an averaging principle ⋮ A random dynamical systems perspective on stochastic resonance



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